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Finding the Fourth Proportional to 2,833.26, 3,910 and 1,574.34

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Solution

The fourth proportional to 2,833.26, 3,910 and 1,574.34 is: 2,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.26 : 3,910 = 1,574.34 : x
  2. Step 2: Convert to fraction form
    2,833.26/3,910 = 1,574.34/x
  3. Step 3: Cross multiply
    2,833.26x = 3,910 × 1,574.34
  4. Step 4: Simplify right side
    2,833.26x = 6,155,669.40
  5. Step 5: Solve for x
    x = 6,155,669.40/2,833.26
  6. Step 6: Final answer
    x = 2,172.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.